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Anika [276]
3 years ago
9

What is the approximate volume of the sphere​

Mathematics
1 answer:
NISA [10]3 years ago
8 0

Answer:

523.33 mm³

Step-by-step explanation:

The general formula for the volume of a sphere is:

V = \frac{4}{3}\pi r^{3}

The radius for the given sphere is 5mm, so plugging that value into the equation and using 3.14 for π:

V = \frac{4}{3}(3.14)(5^{3})

V ≈ 523.33 mm³

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The grid shows Figure Q and its image Figure Q′ after a transformation.
Svetach [21]

The transformation of pentagon Q to pentagon Q' is a clockwise rotation of 180° about the origin.

<h3>What is transformation?</h3>

A transformation is a general term for four specific ways to manipulate the shape or position of a point, a line, or a geometric figure.

We have,

Coordinates of a pentagon Q.

(2, 4), (3, 7), (7, 5), (5,4), and (4,2).

Coordinates of pentagon Q'.

(-2, -4), (-3, -7), (-7, -5), (-5,-4), and (-4,-2).

We see that the coordinates of each point of the pentagon Q have changed their position as negative coordinates in pentagon Q'

The coordinates of pentagon Q are in (x, y) which can be assumed to be in the first quadrant of the coordinate plane.

The coordinates of pentagon Q' are in (-x, -y) which is in the 3rd quadrant.

From the first quadrant to 3rd quadrant there is a rotation of 180°.

Thus the transformation of pentagon Q to pentagon Q' is a clockwise rotation of 180° about the origin.

Learn more about transformation here:

brainly.com/question/4458799

#SPJ1

8 0
1 year ago
Which is the decimal expansion of the following 1/5
amid [387]

Answer:

Decimal expansion of 1/5 = 0.2

7 0
3 years ago
Help with this polynomial problem.​
Anastasy [175]

Answer:

i cannt see it

Step-by-step explanation:

3 0
3 years ago
Qual a altura máxima atingida por um projétil cuja trajetória pode ser descrita pela função: h(x) = –4x² + 5, sabendo que h é a
masya89 [10]

Answer:

A altura máxima é 5

Step-by-step explanation:

Matematicamente, a altura máxima pode ser obtida

A altura máxima é simplesmente o vértice da parábola

Começamos diferenciando a função Isso será -8x

Agora, defina -8x como 0

Isso significa que x = 0

Agora, substitua x = 0 de volta na equação temos

f (0) = -4 (0) ^ 2 + 5

f (0) = 5

A altura máxima é 5

6 0
3 years ago
Jennifer is shopping with her mother. They pay $2 per pound of tomatoes.
elena-14-01-66 [18.8K]

Answer:

The constant of proportionality is 2

The equation is y=2x

Step-by-step explanation:

The unit price or unit rate is $2

Let y represent the price of tomatoes, then the price of x tomatoes is

y=2x dollars.

This represents a direct variation.

This equation is of the form y=kx, where k=2 is the constant of proportionality.

4 0
3 years ago
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